Higher dimensional black holes and supersymmetry

By Harvey Reall. 2002

212 citations recorded by the source corpus.

It has recently been shown that the uniqueness theorem for stationary black holes cannot be extended to five dimensions. However, uniqueness is an important assumption of the string theory black hole entropy calculations. This paper justifies this assumption by proving a uniqueness theorem for supersymmetric black holes in five dimensions. Some remarks concerning general properties of nonsupersymmetric higher dimensional black holes are made. It is conjectured that there exist new families of stationary higher dimensional black hole solutions with fewer symmetries than any known solution.

View Paper: https://www.semanticscholar.org/paper/a210c04df4d7b59e4ea253b9d2bf29589e6a9638

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Citations in the corpus

The geometry of D = 11 Killing spinors (2002, background): “In fact, following [ 25 ], we can argue that there are actually no points in the spacetime where K ≡ K ii and hence ǫ i vanishes.”
Numerical methods for finding stationary gravitational solutions (2015, background): “[185] H.”
All supersymmetric solutions of minimal supergravity in five- dimensions (2002, background): “In [ 9 ], the constraints on ungauged solutions found in [1]”
A classification of near-horizon geometries of extremal vacuum black holes (2008, background): “The main success of this is it allowed the proof of a uniqueness theorem for asymptotically flat, topologically spherical, superysymmetric black holes in five dimensional ungauged supergravity: the only solution turns out to be BMPV [2, 29].”
Near-horizon symmetries of extremal black holes (2007, background): “inates on a (D−2)-dimensional spatial cross-section of the horizon. The functions F, haand γabare continuous functions of r. Extremality implies that gvv is O(r2). The near-horizon limit is deﬁned by [19] v→ v/ǫ, r→ ǫr (7) and ǫ→ 0, after which we obtain the near-horizon geometry ds2 = r2F(x)dv2 +2d”
General supersymmetric AdS5 black holes (2004, unknown): “The final possibility can be eliminated using arguments in [11, 20].”
Black holes, black rings and their microstates (2007, background): “After more evidence for this conjecture came from the construction of the flat limit of black rings [46], a gap in the proof of the theorem was found [52].”
GRAVITATIONAL PERTURBATIONS OF HIGHER DIMENSIONAL ROTATING BLACK HOLES (2006, background): “Our proof that m = 0 modes are stable is relevant to the conjectured existence [41] of higherdimensional rotating asymptotically flat black holes with fewer symmetries than any known solution.”
Black Holes in Higher Dimensions (2008, background): “One could look for evidence that such solutions exist by considering perturbations of known solutions [216].”
Supersymmetric black rings and three-charge supertubes (2004, background): “n I= 1 16πG5 Z R⋆5 1− 2F∧ ⋆5F− 8 3 √ 3 F∧ F∧ A , (A.1) where F = dA. Any supersymmetric solution of this theory admits a globally deﬁned nonspacelike Killing vector ﬁeld V [30] that cannot vanish [4]. In a region where V is timelike, coordinates (t,xm) can be introduced so that V = ∂/∂tand the lin”
One Ring to Rule Them All ... and in the Darkness Bind Them (2004, background): “Nevertheless, it has been argued [28] that such black holes do not exist.”
Four dimensional black hole microstates: from D-branes to spacetime foam (2006, background): “The general ansatz for such solutions was given in [15] following [16, 17].”